Timeline of Category Theory and Related Mathematics

This is a timeline of category theory and related mathematics. Its scope ('related mathematics') is taken as:

  • Categories of abstract algebraic structures including representation theory and universal algebra;
  • Homological algebra;
  • Homotopical algebra;
  • Topology using categories, including algebraic topology, categorical topology, quantum topology, low dimensional topology;
  • Categorical logic and set theory in the categorical context such as algebraic set theory;
  • Foundations of mathematics building on categories, for instance topos theory;
  • Abstract geometry, including algebraic geometry, categorical noncommutative geometry, etc.
  • Quantization related to category theory, in particular categorical quantization;
  • Categorical physics relevant for mathematics.

In this article and in category theory in general ∞ = ω.

Read more about Timeline Of Category Theory And Related Mathematics:  Timeline To 1945: Before The Definitions, 1945–1970, 1971–1980, 1981–1990, 1991–2000, 2001–present, See Also

Famous quotes containing the words category, theory, related and/or mathematics:

    The truth is, no matter how trying they become, babies two and under don’t have the ability to make moral choices, so they can’t be “bad.” That category only exists in the adult mind.
    Anne Cassidy (20th century)

    No one thinks anything silly is suitable when they are an adolescent. Such an enormous share of their own behavior is silly that they lose all proper perspective on silliness, like a baker who is nauseated by the sight of his own eclairs. This provides another good argument for the emerging theory that the best use of cryogenics is to freeze all human beings when they are between the ages of twelve and nineteen.
    Anna Quindlen (20th century)

    Just as a new scientific discovery manifests something that was already latent in the order of nature, and at the same time is logically related to the total structure of the existing science, so the new poem manifests something that was already latent in the order of words.
    Northrop Frye (b. 1912)

    Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In mathematics we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.
    Simone Weil (1909–1943)